Hilbert functions of socle ideals
arXiv:1508.02800
Abstract
In this paper, we explore a relationship between Hilbert functions and the irreducible decompositions of ideals in local rings. Applications are given to characterize the regularity, Gorensteinness, Cohen-Macaulayness and sequentially Cohen-Macaulayness of local rings.
arXiv commentarXiv admin note: substantial text overlap with arXiv:1504.06041